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106431720 = 23357511181
BaseRepresentation
bin1100101100000…
…00010011101000
321102021021212120
412112000103220
5204221303340
614321111240
72431440363
oct626002350
9242237776
10106431720
11550947aa
122b788520
1319086165
14101c70da
1595254d0
hex65804e8

106431720 has 64 divisors (see below), whose sum is σ = 319991040. Its totient is φ = 28320000.

The previous prime is 106431701. The next prime is 106431739. The reversal of 106431720 is 27134601.

It is an interprime number because it is at equal distance from previous prime (106431701) and next prime (106431739).

It is a super-2 number, since 2×1064317202 = 22655422044316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89530 + ... + 90710.

It is an arithmetic number, because the mean of its divisors is an integer number (4999860).

Almost surely, 2106431720 is an apocalyptic number.

106431720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106431720 is an abundant number, since it is smaller than the sum of its proper divisors (213559320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106431720 is a wasteful number, since it uses less digits than its factorization.

106431720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 106431720 is about 10316.5750130554. The cubic root of 106431720 is about 473.9039845400.

The spelling of 106431720 in words is "one hundred six million, four hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 751 1181 1502 2253 2362 3004 3543 3755 4506 4724 5905 6008 7086 7510 9012 9448 11265 11810 14172 15020 17715 18024 22530 23620 28344 30040 35430 45060 47240 70860 90120 141720 886931 1773862 2660793 3547724 4434655 5321586 7095448 8869310 10643172 13303965 17738620 21286344 26607930 35477240 53215860 106431720